CAIE A-Level Mathematics AS 1.3.3 Circle Equation Questions

Practise applying coordinate geometry methods to solve AS mathematics problems.

Exam points

apply coordinate geometry methods
solve coordinate geometry problems
interpret geometric results

[Maximum number: 2]

Points A(-2,3), B(3,0) and C(6,5) lie on the circumference of a circle with centre D.

Find an equation of the circle.

$\left(x-\text { their } \mathrm{x}_{\mathrm{c}}\right)^{2}+\left(y-\text { their } y_{c}\right)^{2}\left[=r^{2}\right]$ or $\left(\text { their } x_{\mathrm{c}}-x\right)^{2}+\left(\text { their } y_{c}-y\right)^{2}=\left[r^{2}\right]$
Use of circle equation with their centre
$(x-2)^{2}+(y-4)^{2}=17$
Accept $x^{2}-4 x+y^{2}-8 y+3=0$ OE

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CAIE A-Level Mathematics AS 1.3.3 Circle Equation Questions question 1